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Finding the Fourth Proportional to 101,778.52, 152,906.32 and 96,027.07

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Solution

The fourth proportional to 101,778.52, 152,906.32 and 96,027.07 is: 144,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778.52 : 152,906.32 = 96,027.07 : x
  2. Step 2: Convert to fraction form
    101,778.52/152,906.32 = 96,027.07/x
  3. Step 3: Cross multiply
    101,778.52x = 152,906.32 × 96,027.07
  4. Step 4: Simplify right side
    101,778.52x = 14,683,145,129.55
  5. Step 5: Solve for x
    x = 14,683,145,129.55/101,778.52
  6. Step 6: Final answer
    x = 144,265.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.